72889500 has 48 divisors (see below), whose sum is σ = 212258592. Its totient is φ = 19436800.

The previous prime is 72889483. The next prime is 72889511. The reversal of 72889500 is 598827.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22797 + ... + 25796.

It is an arithmetic number, because the mean of its divisors is an integer number (4422054).

Almost surely, 2^72889500 is an apocalyptic number.

It is an amenable number.

72889500 is an abundant number, since it is smaller than the sum of its proper divisors (139369092).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72889500 is a wasteful number, since it uses less digits than its factorization.

72889500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48615 (or 48603 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The square root of 72889500 is about 8537.5347729892. The cubic root of 72889500 is about 417.7229378141.

The spelling of 72889500 in words is "seventy-two million, eight hundred eighty-nine thousand, five hundred".